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Finding the Fourth Proportional to 430.94, 646.60 and 214.76

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Solution

The fourth proportional to 430.94, 646.60 and 214.76 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 646.60 = 214.76 : x
  2. Step 2: Convert to fraction form
    430.94/646.60 = 214.76/x
  3. Step 3: Cross multiply
    430.94x = 646.60 × 214.76
  4. Step 4: Simplify right side
    430.94x = 138,863.82
  5. Step 5: Solve for x
    x = 138,863.82/430.94
  6. Step 6: Final answer
    x = 322.23

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